How much power is produced if a voltage of #10 V# is applied to a circuit with a resistance of #96 Omega#?

1 Answer
Apr 20, 2016

#"Power" = 100/96 = 50/48 = 25/24"Watts"#

Explanation:

#"Power" = "Voltage"*"Current"#
#"Power"# is measured in Watts
#"Voltage"# is measured in Volts
#"Current"# is measured in Amperes.

We want the #"Power"#, we have the #"Voltage"# and the #"Resistance"#, but we do not have the #"Current"#. So, we can find the #"Current"# or just replace it through the #"Resistance"# formula:

#"Resistance" = "Voltage"/"Current"#
#96Omega = (10V)/"Current" => "Current" = (10V)/(96Omega)#

Now, apply in the #"Power"# formula:
#"Power" = 10 * 10/96#
#"Power" = 100/96 = 50/48 = 25/24"Watts"#